On some properties of $n$-EP and $n$-hypo-EP operators

TL;DR

This paper explores the properties of $n$-EP and $n$-hypo-EP operators, establishing their characteristics and relationships with other operator classes in functional analysis.

Contribution

It introduces new properties of $n$-EP and $n$-hypo-EP operators and connects them with existing classes like EP, SD, hypo-EP, and $n$-normal operators.

Findings

Characterization of $n$-EP and $n$-hypo-EP operators

Links established with EP, SD, hypo-EP, and $n$-normal operators

New properties and classifications of these operator classes

Abstract

This article, is devoted to $n$-EP and $n$-hypo-EP operators. We give some characteristic properties of these two classes and various links with other known classes in the literature, especially the classes of EP, SD, hypo-EP and $n$-normal operators.